A vendor claims that no more than 10% of the parts she supplies are defective. Let p denote the actual proportion of parts that are defective. A test is made of the hypotheses H0 : p ≤ 0.10 versus H1 : p > 0.10. For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred.
a. The claim is true, and H0 is rejected.
b. The claim is false, and H0 is rejected.
c. The claim is true, and H0 is not rejected.
d. The claim is false, and H0 is not rejected.